A nutrition label shows that there are 154 calories in 28
grams of dry roasted cashews. You eat 9 cashews totaling
12 grams. What is the number of calories you consume?

The critical region is determined based on the alpha level, which is the probability of making a Type I error (rejecting the null hypothesis when it is true). An alpha level of .01 means that there is a 1% chance of making a Type I error.

If Chastity ran a hypothesis test with an alpha level of .01 and her test statistic fell outside of the critical region, it means that the test statistic does not provide enough evidence to reject the null hypothesis.

In this case, Chastity should fail to reject the null hypothesis and accept it as the plausible explanation. This implies that there is not enough evidence to support the alternative hypothesis.

When a test statistic falls outside of the critical region, it indicates that the observed data is not extreme enough to reject the null hypothesis. The critical region is determined based on the alpha level, which is the probability of making a Type I error (rejecting the null hypothesis when it is true). An alpha level of .01 means that there is a 1% chance of making a Type I error.

In summary, when Chastity's test statistic falls outside of the critical region, she should fail to reject the null hypothesis and accept it as the plausible explanation. This means that there is not enough evidence to support the alternative hypothesis at the given alpha level of .01.

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It takes 6 weeks to brew a particular lager and the brewery anticipates serving 200 pints of this lager a day. To find: How big of a vessel will the brewery require? Solution: The brewery anticipates serving 200 pints of lager per day. It takes 6 weeks to brew a particular lager.

There are 7 days in a week. So, the total number of days required to brew the lager= 6 x 7= 42 days. It is given that the brewery anticipates serving 200 pints of lager per day. So, the total number of pints that the brewery will require to serve 200 pints per day for 42 days= 200 x 42= 8400 pints.1 gallon= 8 pints Therefore, 8400 pints= 8400/8 gallons= 1050 gallons. Hence, the brewery requires a vessel of 1050 gallons. Answer: 1050.

It was a definite and specific offer that could be accepted by anyone who met the requirements. It is an example of a unilateral offer since it was an open offer, anyone who agreed to the terms of the contract could have accepted it. Furthermore, it was a clear and unambiguous offer since it did not require any more clarification. Shawna and Beatrice, by virtue of their status as the offerees, had the option of accepting or rejecting the offer. The acceptance must meet the requirements of a valid contract. The acceptance must be communicated clearly and immediately. In addition, the acceptance must conform to the offer's terms. In Hyde v Wrench (1840), the court held that an acceptance must be unconditional and absolute and that if the acceptance is not in line with the terms of the offer, it is a counteroffer that terminates the original offer. Since Shawna and Beatrice had not yet responded to the offer, there was no acceptance of the contract. Therefore, there was no legal agreement between the parties as a contract must have both an offer and an acceptance in order to be considered valid.

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The ratio that we can use to find the centimeter equivalent of 2.2 kilometers is; 10000/1

From the metric system of unit conversion table we see that;

1 kilometer = 1000 meters (m)

1 meter = 100 centimeters (cm)

1 centimeter = 10 millimeters (mm)

Now, we want to find the ratio to convert 2.2 kilometers to centimeters.

Thus;

Since 1 kilometer = 1000 meters (m) and 1 meter = 100 centimeters (cm), then;

1 kilometer = 1000 * 100 cm = 10000 cm

Thus;

2.2 km = 2.2 * 10000/1 = 22000 cm

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It is incorrect to state that the t-critical value for C selects the tn-1 critical value for C, but it is correct to state that the z-critical value for C selects the z critical value for C.

To clarify the statements:

The t-critical value for a given confidence level C will NOT select the tn-1 critical value for C.

The t-critical value is used when dealing with a small sample size and estimating a population parameter, such as the mean, when the population standard deviation is unknown.

The t-distribution has thicker tails compared to the standard normal (z-) distribution, which accounts for the additional uncertainty introduced by smaller sample sizes.

The critical values for the t-distribution are determined based on the degrees of freedom, which is n - 1 for a sample size of n.

The z-critical value for a given confidence level C will select the z critical value for C.

The z-critical value is used when dealing with larger sample sizes (typically n > 30) or when the population standard deviation is known. The z-distribution is a standard normal distribution with a mean of 0 and a standard deviation of 1.

The critical values for the z-distribution are fixed and correspond to specific confidence levels.

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The total charge for the rooms will be $197.55.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given,

The charge for one room = $21.95

Total number of rooms = 3+2+4=9 rooms

Total charges for the room= Charge for one room × total number of room

Substitute the values:-

The total charge for the room = 21.95 × 9 = 197.55

Hence, the total charge for the room is 197.55

The complete question is given below:-

Landon Elliot fumigates rooms and charges $21.95 per room. on Monday, he fumigated 3 rooms in one house, 2 in another, and 4 in a third. find his total charges.

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The given parametric equations are given below:v = t² + 3 y = ln(t² + 3) z = tWe have to find the parametric equations for the tangent line to the curve with the given parametric equations at the specified point (2, ln 4, 1).

Explanation:Let (x₀, y₀, z₀) = (2, ln 4, 1) be the specified point.To find the tangent line, we need to find a point and a vector. We already have the point, we can find the vector by taking the derivative of each component of the vector function:(v, y, z) = (t² + 3, ln(t² + 3), t)Differentiating each component we get:(v', y', z') = (2t, (2t / (t² + 3)), 1)Now evaluating the derivatives at t = 2, we get:(v'(2), y'(2), z'(2)) = (4, 4 / 7, 1)Thus the tangent vector is (4, 4 / 7, 1).We can write the equation for the line in vector form as:r = r₀ + t vwhere r₀ is the initial position vector (2, ln 4, 1), v is the direction vector (4, 4 / 7, 1), and t is a parameter.We can write the parametric equation of the line as:(x, y, z) = (2, ln 4, 1) + t(4, 4 / 7, 1)

Multiplying the vector (4, 4 / 7, 1) by t and adding it to the point (2, ln 4, 1), we get the following equation:(x, y, z) = (2 + 4t, ln 4 + (4 / 7)t, 1 + t)The above equation gives the required parametric equations for the tangent line to the curve at the specified point.

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The required solution is the distance from each corner should be 6.75 inches.

Let the distance from each corner of the wall to the mirror be x inches.

Now, the width of the wall is 46 inches and the width of the mirror is 33 1/2 inches.

Therefore, the distance from one edge of the mirror to a corner is :

=(46-33 1/2)/2

=6.75 inches.

Thus we can write the equation as:

2x + 33 1/2

= 46x=6.75 inches

Therefore, Fatima should place the mirror 6.75 inches away from each corner to make it centered.

Hence, the required solution is the distance from each corner should be 6.75 inches.

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1. The height of the cone is equal to

2. You can solve for the slant height, s by applying Pythagorean's theorem.

3. To get from the base of the cone to the top of the hill, an ant has to crawl 29 mm.

In Mathematics and Geometry, the volume of a cone can be calculated by using this formula:

Volume of cone, V = 1/3 × πr²h

Where:

By substituting the given parameters into the formula for the volume of a cone, we have the following;

8792 =  1/3 × 3.14 × 20² × h

26,376 =  3.14 × 400 × h

Height, h = 26,376/1,256

Height, h = 21 mm.

Question 2.

In order to solve for the slant height, s, we would have to apply Pythagorean's theorem since the height of the cone has been calculated above.

Question 3.

By applying Pythagorean's theorem, we have the following:

r² + h² = s²

20² + 21² = s²

400 + 441 = s²

s² = 841

Slant height, s = √841

Slant height, s = 29 mm.

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(1.25 x 12)/ 0.6=

25

Hope this helps :)

send the image of angles

This month's forecast using exponential smoothing with alpha = 0.2, if August's forecast was 145 is  148..

The exponential window function is a general method for smoothing time series data known as exponential smoothing. In contrast to the ordinary moving average, which weights previous data equally, exponential functions use weights that decrease exponentially with time.

The exponential smoothing with an alpha of .2 can be expressed as

F(t) = α*D(t) + (1-α)*F(t-1)

α = 0.2

F(t) = forecast for this month (October)

D(t) = actual demand for the last month (September) = 160

F(t-1) = forecast for last month (August) = 145

Then this can be expressed as ;

0.2*160 + (1-0.2)*145

= 32 + 116

= 148

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complete question;

The owner of Darkest Tans Unlimited in a local mall is forecasting this month's (October's) demand for the one new tanning booth based on the following historical data: col1 Month April May June July August September col2 Number of Visits 100 140 110 150 120 160 What is this month's forecast using exponential smoothing with alpha =. 2, if August's forecast was 145? a. 163b. 142 c. 148 d. 140 e. 144

Answer:

304

Step-by-step explanation:

4865/16 = 304.0625 or about 304

I have to round it since you can't bring part of a student in a trip lol.

Ace Carlos

The measure of angle ∠3 and angle ∠6, which are alternate interior angles formed between the parallel lines m and n are;

m∠3 = 60°, m∠6 = 60°

Alternate interior angles are angles formed in the inside part of two lines that have a common transversal, and on opposite sides of the transversal.

The information are;

Line m is parallel to line n (m ║ n)

m∠3 = 7·x - 10

m∠6 = 5·x + 10

From the possible diagram in a similar question, we get;

∠3 and ∠6 are alternate interior angles formed between parallel lines therefore;

∠3 ≅ ∠6

m∠3 = m∠6 (definition of congruent angles)

7·x - 10 = 5·x + 10 (substitution property of equality)

7·x - 5·x = 10 + 10 = 20

2·x = 20

x = 20 ÷ 2 = 10

x = 10

m∠3 = 7 × 10 - 10 = 60

m∠3 = 60°

m∠3 = m∠6

Therefore;

m∠6 = 60°

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a) A system of equations that could be used to determine the number of gifts Jackson wrapped and the number of gift bags he prepared is:

b) The variables used to write the system of equations are the number of single gifts, x, and the number of gift bags, y.

A system of equations is two or more equations solved simultaneously.

They are also known as simultaneous equations because the solutions of the variables are obtained at the time.

The time for wrapping a single gift = 6 minutes

The time for wrapping a gift bag = 2 minutes

The total number of gifts prepared = 25

The total time used in preparing the 25 gifts = 110 minutes

Let the number of single gifts = x

Let the number of gift bags = y

6x + 2y = 110 ... Equation 1

x + y = 25 ... Equation 2

Multiply Equation 2 by 2:

2x + 2y = 50 ... Equation 3

Subtract Equation 3 from Equation 1:

6x + 2y = 110

-

2x + 2y = 50

4x = 60

x = 15

From Equation 2:

x + y = 25

15 + y = 25

y = 10

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Answer:

maria is drunk

Step-by-step explanation:

yoooooooooooooo

Answer:

180°

Step-by-step explanation:

Answer:  D: Add the fractions together on the right side of the equation

Step-by-step explanation:

Step-by-step explanation:

the integer that represents the opposite of a gain of 400 = - 400

Answer:

5/4

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

1/2 = 2/5 * w

Multiply each side by 5/2

5/2 * 1/2 = 2/5 *w * 5/2

5/4 = w

Formula we use,

→ A = l × w

Then the width of the rectangle,

→ A = I × w

→ 1/2 = 2/5 × w

Now multiply each side by 5/2,

→ 1/2 × 5/2 = 2/5 × w × 5/2

→ w = 5/4

Hence, the width is 5/4.

Answer:

Use the quotient property of logarithms, logb(x)−logb(y)=logb(xy) log b ( x ) - log b ( y ) = log b ( x y ) . log3(4010) log 3 ( 40 10 ). Step 2.

A possible second point which has a y-coordinate of 8 is 5.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Based on the information provided, we can logically deduce the following slope and data points on the line:

Substituting the given points into the slope formula, we have the following;

Slope, m = (y₂ - y₁)/(x₂ - x₁)

3/2 = (8 - 2)/(x₂ - 1)

3/2 = 6/(x₂ - 1)

Cross-multiplying, we have:

3(x₂ - 1) = 12

x₂ - 1 = 12/3

x₂ - 1 = 4

x₂ = 4 + 1

x₂ = 5

In conclusion, the required second point (x₂) is equal to 5.

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There are 1820 different committees that can be chosen from the 16-member student council.

What is probability?

Probability is a measure of the likelihood of an event occurring.

The number of different committees that can be chosen from a group of n members, when choosing k members at a time, is given by the combination formula:

C(n, k) = n! / (k! * (n - k)!)

In this case, there are 16 students in the council and we need to choose a committee of 4 students. So we can substitute n=16 and k=4 into the formula to get:

C(16, 4) = 16! / (4! * (16 - 4)!) = 16! / (4! * 12!) = (16 * 15 * 14 * 13) / (4 * 3 * 2 * 1) = 1820

Therefore, there are 1820 different committees that can be chosen from the 16-member student council.

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To win the Ohio Classic Lotto, you need to match all six numbers drawn. In this lottery game, players choose six numbers from a set range, typically from 1 to 49.

The winning combination is determined by a random drawing of six numbers, usually conducted by a lottery machine or ball-drawing mechanism.

For a chance to win the jackpot prize, you must have all six numbers on your ticket match the six numbers drawn in the official drawing. This means that every number on your ticket must exactly correspond to the numbers selected in the drawing, and in the same order.

Matching fewer than all six numbers does not result in winning the jackpot prize. However, depending on the specific rules of the Ohio Classic Lotto, there may be secondary prizes for matching a subset of the drawn numbers, such as matching five, four, or three numbers correctly. These secondary prizes are typically of smaller value than the jackpot prize.

In summary, to win the Ohio Classic Lotto, you need to match all six numbers in the drawing.

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Answer:

False, 82 inches is not greater than 5 feet and 10 inches

Step-by-step explanation:

1 feet = 12 inches

5x12=60+10=70

82 is greater than 70.

Answer:

Step-by-step explanation:

Original Cost Price (CP)= $921

Discount Rate (%)= 11 %

Discounted Money= Discount Rate* Cost Price=11%*$921=0.11*921= $ 101.31

Hence, Price after Discount= Original Cost Price- Discounted Money

                                              = $921 - $101.31

                                              = $ 819.69

Hence, The price of the mountain bike after the discount is $819.69.

area of rectangle : length x width

1) 7 x 5 = 35

area = 35 in^2

2) area of trapezoid : (a+b)h/2

area = 272 cm^2

3) area = 45.5 in^2

4) area of rhombus : base x height

area =  80 m^2

5) area = 108 cm^2

Answer:

number one is 35in its important to say inches after but in the abbreviation

Step-by-step explanation:

if you need to show your work then put on the side of it

  7in

x 5in

-------

  35in

Answer:

y = 6x + 3

Step-by-step explanation:

6x - y = 1

6x -1 = y

Slope = 6

Point (-1,-3)

y-intercept = -3 - (6)(-1)

= -3 + 6 = 3

y = 6x + 3

The length of the sides of the square are 8 centimetres and 12 centimetres respectively

area = l²

where

Therefore,

x² + y² = 208

perimeter = 4l

4x + 4y = 80 cm

x + y = 20

x = 20 - y

(20 - y)² + y² = 208

y² - 40y + 400 + y² = 208

2y² - 40y + 192

y² - 20y + 96

(y - 12)(y - 8)

Therefore, y  = 12 and y = 8

when y = 8

x + 8 = 20

x = 12

when y = 12

x + 12 = 20

x = 8

Therefore, the length of the sides of the square are 12 cm and 8 cm.

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